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Finding the Fourth Proportional to 12,656.83, 17,466.33 and 6,991.93

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Solution

The fourth proportional to 12,656.83, 17,466.33 and 6,991.93 is: 9,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.83 : 17,466.33 = 6,991.93 : x
  2. Step 2: Convert to fraction form
    12,656.83/17,466.33 = 6,991.93/x
  3. Step 3: Cross multiply
    12,656.83x = 17,466.33 × 6,991.93
  4. Step 4: Simplify right side
    12,656.83x = 122,123,356.72
  5. Step 5: Solve for x
    x = 122,123,356.72/12,656.83
  6. Step 6: Final answer
    x = 9,648.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.